2989100400 has 240 divisors, whose sum is σ = 11249696640. Its totient is φ = 668851200.

The previous prime is 2989100393. The next prime is 2989100419. The reversal of 2989100400 is 40019892.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162891 + ... + 180309.

It is an arithmetic number, because the mean of its divisors is an integer number (46873736).

Almost surely, 2^2989100400 is an apocalyptic number.

2989100400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2989100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624848320).

2989100400 is an abundant number, since it is smaller than the sum of its proper divisors (8260596240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2989100400 is a wasteful number, since it uses less digits than its factorization.

2989100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17464 (or 17453 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2989100400 is about 54672.6659309751. The cubic root of 2989100400 is about 1440.5007903256.

The spelling of 2989100400 in words is "two billion, nine hundred eighty-nine million, one hundred thousand, four hundred".